0
What else can I help you with?
Sets that cover a range of points including those between isolated points and cannot be written as lists are called sets.?
The description you've provided refers to "intervals" or "continuous sets" in mathematics. These sets include all points within a certain range and cannot be expressed as finite or countable lists of elements. For example, the set of all real numbers between two endpoints is an interval that includes all values in that range, including those between isolated points. This concept is crucial in calculus and real analysis, where continuity and limits are fundamental.
What is the two kind of sets?
Closed sets and open sets, or finite and infinite sets.
What do you notice about the two sets of points you graphed?
its gay
What is the kinds of sets?
Closed sets and open sets, or finite and infinite sets.
What are edges on a tetrahedron?
They are the sets of points (lines) at which two faces meet.
In Calculus what is an accumulation point?
An accumulation point, or limit point, for a set S is a point x (not necessarily in S) such that any open set containing x also contains a point (distinct from x) that's in S. More intuitively, it means that by choosing points in S, we can get as close as we want to x without actually reaching it. For example, consider the set S={1,1/2,1/3,1/4,...} (in the real numbers). 0 is an accumulation point for S, because any open set containing 0 would have to contain all between 0 and some ε>0, which would include a point (actually, an infinite amount of points) in S. But 1/5, for example, is not an accumulation point for S, because we can take the open interval (11/60,9/40) which doesn't contain any points in S other than 1/5. Not all sets have an accumulation point. For example, any set of a finite amount of real numbers can't have an accumulation point. Another example of a set without an accumulation point is the integers (as a subset of the real numbers). However, over the real numbers, any bounded infinite set has an accumulation point. In a general topological space, any infinite subset of a compact set has an accumulation point.
Sets that cover a range of points including those between isolated points and cannot be written as lists are called sets.?
The description you've provided refers to "intervals" or "continuous sets" in mathematics. These sets include all points within a certain range and cannot be expressed as finite or countable lists of elements. For example, the set of all real numbers between two endpoints is an interval that includes all values in that range, including those between isolated points. This concept is crucial in calculus and real analysis, where continuity and limits are fundamental.
Do you need calculus for discrete math?
No, calculus is not typically required for discrete math. Discrete math focuses on topics such as logic, sets, functions, and combinatorics, which do not rely on calculus concepts.
Does discrete math incorporate concepts from calculus?
No, discrete math does not incorporate concepts from calculus. Discrete math focuses on mathematical structures that are distinct and separate, such as integers, graphs, and sets, while calculus deals with continuous functions and limits.
In geometry what is the set of all points?
A set of all points is how various shapes are made in geometry. Lines are sets of points, and so are surfaces. Circles are sets of all points that are a fixed distance from a central point. All geometric shapes are made from sets of all points.
What is the two kind of sets?
Closed sets and open sets, or finite and infinite sets.
What is the study of sets of points?
Geometry
What is kind of set?
Closed sets and open sets, or finite and infinite sets.
What the kinds of set?
Closed sets and open sets, or finite and infinite sets.
Why does the Lebesgue number not exist in a open and bounded set?
Because there are too many possibilities for the open covering. For a compact set, any family of open sets that covers can be replaced by a finite subfamily of open sets that still covers. Hence the open sets can't be too small. Without compactness, the open sets can be quite small. For example, the infinite family of intervals (1/(n+1), 1/(n-1)) covers the open bounded set (0,1). (Here n is any integer larger than 1.) No subfamily will cover (0,1), and since the sets have radius going to zero, the Lebesgue number would also have to be zero.
How many sets does an angle separate a plane?
An angle separates a plane to 3 sets: 1) Points between the 2 rays 2) Points on one of the rays 3) Points outside of the 2 rays
What do you notice about the two sets of points you graphed?
its gay
